What is the Least Common Multiple of 74566 and 74584?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74566 and 74584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74566 and 74584, than apply into the LCM equation.

GCF(74566,74584) = 2
LCM(74566,74584) = ( 74566 × 74584) / 2
LCM(74566,74584) = 5561430544 / 2
LCM(74566,74584) = 2780715272

Least Common Multiple (LCM) of 74566 and 74584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74566 and 74584. First we will calculate the prime factors of 74566 and 74584.

Prime Factorization of 74566

Prime Factorization of 74584

Now multiplying the highest exponent prime factors to calculate the LCM of 74566 and 74584.

LCM(74566,74584) = 2³ × 23¹ × 1621¹ × 9323¹
LCM(74566,74584) = 2780715272